Add 12/40 and 54/49
1st number: 12/40, 2nd number: 1 5/49
12/40 + 54/49 is 687/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
12/40 = 12 × 49/40 × 49 = 588/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
54/49 = 54 × 40/49 × 40 = 2160/1960 - Add the two like fractions:
588/1960 + 2160/1960 = 588 + 2160/1960 = 2748/1960 - 2748/1960 simplified gives 687/490
- So, 12/40 + 54/49 = 687/490
In mixed form: 1197/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/40+54/49 12/80+54/49 12/40+54/98 36/40+54/49 60/40+54/49 84/40+54/49